A box with no top is to be constructed from a piece of cardboard whose length measures 10 inches more than its width. The box is formed by cutting squares that measure 4 inches on each side from the four corners and then folding up the sides. If the volume of the box will be 224in.^3, what are the dimensions of the piece of cardboard?

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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the answer is $42.96

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d. corresponding side lengths in similar triangles are proportional in length.

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